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946164690 = 2325431092243
BaseRepresentation
bin111000011001010…
…101001111010010
32102221101010221200
4320121111033102
53414204232230
6233515332030
732306160432
oct7031251722
92387333850
10946164690
114460a3599
12224a51016
1312103b183
148d9362c2
15580ea160
hex386553d2

946164690 has 96 divisors (see below), whose sum is σ = 2541464640. Its totient is φ = 244073088.

The previous prime is 946164617. The next prime is 946164691. The reversal of 946164690 is 96461649.

946164690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9461646902 = 1790455241205592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (946164691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420709 + ... + 422951.

It is an arithmetic number, because the mean of its divisors is an integer number (26473590).

Almost surely, 2946164690 is an apocalyptic number.

946164690 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 946164690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270732320).

946164690 is an abundant number, since it is smaller than the sum of its proper divisors (1595299950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

946164690 is a wasteful number, since it uses less digits than its factorization.

946164690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 946164690 is about 30759.7901488290. The cubic root of 946164690 is about 981.7228786796.

The spelling of 946164690 in words is "nine hundred forty-six million, one hundred sixty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 109 129 215 218 258 327 387 430 545 645 654 774 981 1090 1290 1635 1935 1962 2243 3270 3870 4486 4687 4905 6729 9374 9810 11215 13458 14061 20187 22430 23435 28122 33645 40374 42183 46870 67290 70305 84366 96449 100935 140610 192898 201870 210915 244487 289347 421830 482245 488974 578694 733461 868041 964490 1222435 1446735 1466922 1736082 2200383 2444870 2893470 3667305 4340205 4400766 7334610 8680410 10512941 11001915 21025882 22003830 31538823 52564705 63077646 94616469 105129410 157694115 189232938 315388230 473082345 946164690